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Finding the Third Proportional to 50,656.50 and 117,270.56

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Solution

The third proportional to 50,656.50 and 117,270.56 is: 271,483.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,656.50 : 117,270.56 = 117,270.56 : x
  2. Step 2: Convert to fraction form
    50,656.50/117,270.56 = 117,270.56/x
  3. Step 3: Cross multiply
    50,656.50x = 117,270.56 × 117,270.56
  4. Step 4: Simplify right side
    50,656.50x = 13,752,384,829.07
  5. Step 5: Solve for x
    x = 13,752,384,829.07/50,656.50
  6. Step 6: Final answer
    x = 271,483.12

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.